67847680 has 80 divisors (see below), whose sum is σ = 172355040. Its totient is φ = 25526272.

The previous prime is 67847653. The next prime is 67847711. The reversal of 67847680 is 8674876.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 67847680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42741 + ... + 44299.

It is an arithmetic number, because the mean of its divisors is an integer number (2154438).

Almost surely, 2^67847680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86177520).

67847680 is an abundant number, since it is smaller than the sum of its proper divisors (104507360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67847680 is a wasteful number, since it uses less digits than its factorization.

67847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 67847680 is about 8236.9703168095. The cubic root of 67847680 is about 407.8605187704.

The spelling of 67847680 in words is "sixty-seven million, eight hundred forty-seven thousand, six hundred eighty".